Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880j |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12214272 |
Modular degree for the optimal curve |
Δ |
-4.3340646103318E+24 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 2 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53922360,182355490400] |
[a1,a2,a3,a4,a6] |
Generators |
[-3860:577060:1] |
Generators of the group modulo torsion |
j |
-143926975147038505636/35975528657508125 |
j-invariant |
L |
8.3004176132038 |
L(r)(E,1)/r! |
Ω |
0.074007206535024 |
Real period |
R |
7.0098052008711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14840a1 |
Quadratic twists by: -7 |